{
  "id": "0802.4054",
  "version": "v1",
  "published": "2008-02-27T17:22:11.000Z",
  "updated": "2008-02-27T17:22:11.000Z",
  "title": "A Nonlinear Model for Relativistic Electrons at Positive Temperature",
  "authors": [
    "Christian Hainzl",
    "Mathieu Lewin",
    "Robert Seiringer"
  ],
  "journal": "Rev. Math. Phys. 20, 1283 (2008)",
  "doi": "10.1142/S0129055X08003547",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the relativistic electron-positron field at positive temperature in the Hartree-Fock-approximation. We consider both the case with and without exchange term, and investigate the existence and properties of minimizers. Our approach is non-perturbative in the sense that the relevant electron subspace is determined in a self-consistent way. The present work is an extension of previous work by Hainzl, Lewin, S\\'er\\'e, and Solovej where the case of zero temperature was considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-27T17:22:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive temperature",
      "nonlinear model",
      "relativistic electrons",
      "relativistic electron-positron field",
      "relevant electron subspace"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Reviews in Mathematical Physics",
      "year": 2008,
      "volume": 20,
      "number": 10,
      "pages": 1283
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008RvMaP..20.1283H"
    }
  }
}